Answers
Step-by-step explanation:
f(x) = ln(1+2x), a = 5, n = 3
Find the derivatives.
f⁽⁰⁾(5) = ln(1+2(5)) = ln(11)
f⁽¹⁾(5) = 2 / (1+2(5)) = 2/11
f⁽²⁾(5) = -4 / (1 + 2(5))² = -4/121
f⁽³⁾(5) = 16 / (1 + 2(5))³ = 16/1331
T₃(x) = ln(11) (x − 5)⁰ / 0! + 2/11 (x − 5)¹ / 1! − 4/121 (x − 5)² / 2! + 16/1331 (x − 5)³ / 3!
T₃(x) = ln(11) + 2/11 (x − 5) − 2/121 (x − 5)² − 8/3993 (x − 5)³
Find the fourth derivative.
f⁽⁴⁾(x) = -96 / (1 + 2x)⁴
So the next term of the series would be:
(-96 / (1 + 2x)⁴) (x − 5)⁴ / 4!
For 4.6 ≤ x ≤ 5.4,│f⁽⁴⁾(x)│is a maximum at x = 4.6. Therefore:
│R₃(x)│≤ │(-96 / (1 + 2(4.6))⁴) (4.6 − 5)⁴ / 4!│
│R₃(x)│≤ 0.000009
│R₃(x)│is always positive, so we can ignore the right two graphs. Only the top left graph is less than 9×10⁻⁶ on the interval.
Related Questions
Which of the following statements is true of the system below?
-2x-3y=-1
3x+6y=0
A. The solution to this system is (3,-2).
B. The solution to this system is (2,-1).
C. This system has no solutions.
D. This system has infinitely many solutions.
Answers
Answer:
y=mx+b 57+cb
Step-by-step explanation:
Answer:
b. the solution to this system is (2,-1)
Step-by-step explanation:
Complete the statement for triangle HJK with medians (HN), (JL), and (KM), and centroid P. PN = ____ HN *
1 point
1/2
2
1/3
2/3
Answers
Answer:
Step-by-step explanation:
PN = [tex]\frac{1}{3}[/tex] HN
Function f is defined by the equation f(x)=x2
What is f(3)
Answers
So y=x multiplied by 2
so when x is 3
3 times 2 is 6
Y=6
F(3)=6
What is an equation of the line that passes through the points (0, -1) and (6, 1)? Put your answer in fully reduced form
Answers
six less than a number a 7 times a number is 85
Answers
Answer:
7x-6=85
Step-by-step explanation:
7×number for example x
then subtract 6 from that
then you have 85
Answer:
Step-by-step explanation:h
Fill in the table of values for the equation y = x + 2
Answers
Answer:
-3
2
5
Step-by-step explanation:
Function or not a function
-3 6
5 6
3 -2
-5 1
Answers
Answer: It is a function.
Step-by-step explanation:
A function is a relation between two sets that associates every element of the one set to exactly one element of the other set.
Given table : Input values Output values
-3 6
5 6
3 -2
-5 1
Here each input value value is related to exactly one out out value.
Hence, it is a function.
What is the lease common multiple of 6 and 15
Answers
Answer:
It would be 30.
Step-by-step explanation:
Use 3 for pi. I will give brainliest to whoever answers correctly
Answers
Answer:
where is the 3
Step-by-step explanation:
The Virginia Resolution was written by John Adams. Aaron Burr. Thomas Jefferson. James Madison.
Answers
Answer:
D.
Step-by-step explanation:
Did the test
Answer:
Jame´s Madison.
Step-by-step explanation:
Which of the following is the least expensive cereal per ounce 13oz for 2.59 11.4 oz for 3.69 12oz for 3.99 20 oz for 5.99
Answers
Answer:
13 oz for 2.59 (im pretty sure)
Step-by-step explanation:
13 divided by 2.59 means every 5.01393 ounce it costs 1$. and from there you just find how many ounces compared to dollars.
One number is three less than a second number. Six times the first is 6 more than 3 times the second. Find the numbers.
Answers
Step-by-step explanation:
Given,
x = y - 3
Also,
6(y - 3) = 3y + 6
6y - 18 = 3y + 6
6y - 3y = 6 + 18
3y = 24
y = 24/3
y = 8
x = 8 - 3
x = 5
Therefore, the first number is 5 and the second number is 8.
if Brian is 24 years old and his sister is 16 years old. how old is Brian to his sister.
and if Brian's mother is 56 years old how is his mother to his sister. if
Brian's mother is 56 how old is his mother to his sister.
if their father is 63 how old is he to the mother Brian's mother and Brian.
is the mother related to the sister. how old is the sister to the mother and the father. band uncle is 84 how old is he to Brian's mother sister father and to himself. last question how old is other ages add together. who is the oldest
Answers
Answer:
1. 3:2
2. 7:2
3. 63:56:24
4. 16:56:63
5. 84:56:16:63
the ages added up is 219
the uncle is the oldest
Step-by-step explanation:
I'm answering by ratios because I'm not exactly sure what you mean.
24:16 = 6:4 = 3:2
56:16 = 7:2
63:56:24 is already in its simplest form I think??
16:56:63 also in its simplest form
84:56:16:63
the ages added up is 219
the uncle is the oldest
WILLL GIVE BRAINLEAST Name a positive or negative number to represent each situation.
1. depositing $85 in a bank account ____
Answers
I think the answer would be +85 or just 85 because deposit means to add something so I am pretty sure it would be +85.
Plot the x- and y- intercepts to graph the equation.
y= -1/2x - 3
Answers
Step-by-step explanation:
work is shown and pictured
two angles of a triangle measure 55° and 20°
Answers
Answer: All triangles have a 180 degree to them so 55+20 is 75 AND 180 degrees - 75 gives us 105 degrees. Although I know my math is correct a picture of this triangle would be helpful
Step-by-step explanation:
30. What is the degree of the polynomial?
31. Which polynomial is in descending order in terms of x?
Picture attached
Answers
Answer:
Step-by-step explanation:
30). [tex]5^{th}[/tex] degree ( 4 + 1 = 5 ; 1 + 1 = 2 and 2 + 2 = 4 )
31) D) Choice D
Louis age is three years more than twice the age of Sánchez . The sun of their ages is 39. How old are Sánchez and Louis ?
Answers
Answer:
Sanchez- 42
Louis- 40
Step-by-step explanation:
hope this helps
Makayla borrows $15200. Some is from her friend at 5% annual interest, 2 times as much as that from her bank at 8% , and the remainder from her insurance company at 4%. She pays a total of $968 in interest for the first year. How much did she borrow from each source?
Answers
Answer:
Amount borrowed from friend = 4000
From Bank = 8000
From insurance = 3200
Step-by-step explanation:
Given that:
Amount borrowed = $15200
Let amount borrowed from friend = x
x at 5% = 0.05x
From Bank = 2x at 8% = 0.08*2x = 0.16x
From insurance = 15200 - (x + 2x) at 4%
From insurance = 15200 - 3x at 4% ; (15200 - 3x)* 0.04 = 608 - 0.12x
Interest paid in first year = $968
Simple interest = principal * rate * time
968 =
968 = (0.05x + 0.16x + 608 - 0.12x)
968 - 608 = 0.05x + 0.16x - 0.12x
360 = 0.09x
x = 360 / 0.09
x = 4000
Hence,
Amount borrowed from friend = 4000
From Bank = 2x = 4000 * 2 = 8000
From insurance = 15200 - (4000 + 8000) = 3200
What is the extraneous root of this problem?
Answers
Answer:
a: -6
Step-by-step explanation:
[tex]\sqrt{5(-6)+6} =\sqrt{-24} = -6\\[/tex]
This equation is not correct, therefore A is not a root and is extraneous
what is the factterd form for the eqaution 3x^2+8x+4
Answers
Answer:
(3x+2)(x+2)
Step-by-step explanation:
1 Split the second term in 3{x}^{2}+8x+43x
2
+8x+4 into two terms.
3{x}^{2}+6x+2x+43x
2
+6x+2x+4
2 Factor out common terms in the first two terms, then in the last two terms.
3x(x+2)+2(x+2)3x(x+2)+2(x+2)
3 Factor out the common term x+2x+2.
Find the perimeter of a rhombus whose diagonals are
30cm and 34cm
a non rh
rhombus whose
diagonals
are
Answers
Answer:
Rhombus Side = sqr root [(34 / 2)^2 + (30 / 2)^2]
Rhombus Side = sqr root [17^2 + 15^2]
Rhombus Side = sqr root [289 + 225}
Rhombus Side = sqr root [514]
Rhombus Side = 22.6715680975
Rhombus Perimeter = side * 4 = 90.68627239 cm
Step-by-step explanation:
estimate each product :
1/9 x 83
Answers
Answer:
8.5
Step-by-step explanation:
1/9=0.1111111111111
0.1111111111111=0.1
83=80 or 85
0.1*85=8.5
Which polynomial is paired to its factored form?
49x2 + 112x + 64 and (7x + 8)3
25x2 − 45x + 81 and (5x – 9)2
216x3 − 540x2 + 450x – 125 and (6x – 5)3
729x3 + 324x2 + 144x + 64 and (9x + 4)3
Answers
Answer:
216 x^3 - 540 x^2 + 450 x - 125 = (6 x - 5)^3
Step-by-step explanation:
The first one cannot be a perfect cube, since the first term contains x^2 and not x^3.
the second one is not a perfect square (the coefficient of the middle term should be an even number: "-90")
The third expression is the perfect cube as shown.
2 with the exponent of 2 ⋅(45÷9) - 3
i need the answer
Answers
Brainliest if you can help and provide an answer plus explanation :)
Q: How much money would you save on 10 pounds of blueberries at the less expensive fruit stand? (Hint: Find the cost of 10 pounds of blueberries for each, A and B, then subtract the values.) Remember to explain your reasoning!
Answers
Answer:
According to my...calculations, you would save $20.
Step-by-step explanation:
You have to find the ratio/the rate of change, then you multiply it to get to ten pounds. You do the same for the other line. Then you just subtract it.
A= 2 pounds for $12
B= 1 pound for $4
Multiply the two to get to 10, and whatever the number is (5) you multiply 12 by it as well. For B, you multiply by 10. You get $60, for A. $40 for B.
The amount saved would be $20.
Trevor went to the pet store to get a new pet fish. Unfortunately, the selection at the store wasn't very good. Exactly 90% of the fish at the store were goldfish. Trevor wanted any fish, but a goldfish. If there are 140 fish at the store, then how many fish could Trevor choose from?
Answers
Answer: 14 fish
explanation: 90% of 140= 126 (if u use a proportion or multiply 0.9x140).
140-126=14
Answer: He has 14 other fish to choose from in the store
Step-by-step explanation:
90% ÷ 100 = .9
.9 × 140 = 126
140 - 126 = 14
34 x 21
22 x 41
17 x 66
59 x 5
which pair factor ONLY contains composite numbers ?
Answers
Answer:
The last option
math...............math
Answers
Answer:
Frrr its always math -_-
Step-by-step explanation:
Answer:
11.56
25
25
Step-by-step explanation:
Multiply.
−2 1/4X(−2 1/3)
−5 1/4
−41 1/2
41 1/2
5 1/4
Answers
The result of [tex]\tt{} - 2 \frac{1}{4} \times ( - 2 \frac{1}{3} )[/tex] is [tex]\tt{}5 \frac{1 }{4} [/tex]
preliminaryPecahan dalam matematika adalah bilangan rasional yang dapat ditulis dalam bentuk [tex]\tt{}\frac{x}{y}[/tex] (dibaca x per y), dengan bentuk dimana x dan y merupakan bilangan bulat, y tidak sama dengan 0, dan bilangan x bukan kelipatan bilangan y.
Explanation[tex]\tt{}- 2 \frac{1}{4} \times ( - 2\frac{1}{3} )[/tex]
[tex]\tt{} - \frac{9}{4} \times ( - \frac{7}{3} )[/tex]
[tex]\tt{}\frac{3}{4} \times 7[/tex]
[tex]\tt{}\frac{3 \times 7}{4} [/tex]
[tex]\tt{} \frac{31}{4} [/tex]
[tex]\tt{}5 \frac{1}{4} [/tex]